1. A circle is inscribed in a square as shown in the figure below. The circumference of the circle is
increasing at a constant rate of 6 inches per second. As the circle expands, the square expands to
maintain the condition of tangency.
(Note: A circle with radius r has circumference C = 2лr and area A = πr².)
a)
b)
Find the rate at which the perimeter of the square is increasing. Indicate units of measure.
At the instant when the area of the circle is 257 square inches, find the rate of increase in the
area enclosed between the circle and the square. Indicate units of measure.